5740312032 has 576 divisors, whose sum is σ = 21398307840. Its totient is φ = 1418452992.

The previous prime is 5740312031. The next prime is 5740312043. The reversal of 5740312032 is 2302130475.

5740312032 is a `hidden beast` number, since 57 + 403 + 1 + 203 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5740311987 and 5740312005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740312031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53647723 + ... + 53647829.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 2^5740312032 is an apocalyptic number.

5740312032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5740312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10699153920).

5740312032 is an abundant number, since it is smaller than the sum of its proper divisors (15657995808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5740312032 is a wasteful number, since it uses less digits than its factorization.

5740312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5740312032 is about 75764.8469410452. The cubic root of 5740312032 is about 1790.5172118373.

The spelling of 5740312032 in words is "five billion, seven hundred forty million, three hundred twelve thousand, thirty-two".